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A 3 foot tall dog walks at a rate of 3 ft / s away from a streetlight which is 30 ft above the ground.

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A 3 foot tall dog walks at a rate of 3 ft / s away from a streetlight which is 30 ft above the ground. At what rate is the length of the shadow changing? Please specify the units in your nal answer. (6 points): If 1200 cm of material is available to make a box with a square base and an open top, find the largest possible volume of the box. (7 points)

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